The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19) are
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The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19) are
✓ Correct answer: a)
\(\mathrm{n}=4,\mathrm{l}=0,\mathrm{m}=0,\mathrm{s}=+1/2\)
Explanation
Step-by-step Short Solution:
- Potassium (Z = 19)
Electron configuration:
\[
1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 4 s^1
\]
- The outermost electron is in the 4 s orbital, so:
- Principal quantum number \(n=4\)
- Azimuthal quantum number \(l=0\) (since it's an 's' orbital)
- Magnetic quantum number \(m=0\) (only one value for \(l=0\) )
- Spin quantum number \(s=+\frac{1}{2}\) (assumed to be \(+1 / 2\) for the first electron)
Final Answer:
A) \(n=4, l=0, m=0, s=+\frac{1}{2}\)
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